General Aptitude

Question

The sum of the income of A and B is more than that of C and D taken together. The sum of the income of A and C I the same as that of B and D taken together. Moreover, A earns half as much as the sum of the income of B and D . Which of the following statements is not correct?

• A. A earns more than B
• B. B earns more than D
• C. B earns more than C
• D. A earns same as C

Answer 1

ans is A

From the question we have the eqn

A+B>C+D  ........ 1

A+C=B+D  ........ 2

A=(B+D)/2  ....... 3          

From 2 and 3      

C=(B+D)/2=A  ,i.e A=C   So option (d) is correct

Putting A=C  in 1, B>D  So option (b) is correct

Since B>D, So We can rewrite 3 as  A<(B+B)/2 means A<B, which is against option (a) so option (a) is incorrect

Since A<B , i.e, Using A= C, C< B  So option (c) is correct.